# Mathematics Y2 FY2007

## Course Objectives

The course will provide students with the mathematical skills that are necessary in the course subjects. It will provide students with a foundation that will enable them to progress with the course Mathematics I.

## Course Description

*Integration: *Indefinite and definite integrals, substitution, partial integration, partial fraction expansion, area calculations, volume of a revolution (disk-washer method).

*Functions II:* Monotony and extremal points, curves and inflections, partial function rules, inverse functions, symmetrical functions.

*Trigonometry II:* Absolute angles, graphical representation of trigonometric functions, derivation, trigonometrical equations of the first and second degree, trigonometrical equations of the type a×sinx + b×cosx = c, derivation, integration and analysis and trigonometrical functions.

*Exponential and logarithmic functions. *Exponential function, logarithmic term, logarithmic function log x, calculations for logarithms, Briggian logarithms, natural logarithms, derivation, logarithmic and exponential 1st and 2nd degree equations, derivation, integration and analysis of logarithms – and exponential functions.

*Vector calculations: *Vectors in plane and space, vector coordinates, scale products, vector products, scaled trivector products, distances in space.

*Numerical sequences and series: *Numerical sequences, arithmetical series, convergence and infinite series.

## Learning Methods

5 hours of lectures and 5 hours exercises per week.

## Assessment Methods

Two written mid-term tests which count for 50% and a written final examination (4 hours) which counts 50%. Both mid-term tests or the final examination must receive passing marks in order to receive a passing mark for the course.

*Minor adjustments may occur during the academic year, subject to the decision of the Dean*

Publisert av / forfatter Unni Stamland Kaasin <Unni.S.KaasinSPAMFILTER@hit.no>,Jens H Aarnes <Jens.H.AarnesSPAMFILTER@hit.no>, last modified Jens Harald Aarnes - 18/12/2007